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Simplifying 12x + 2 = 10(4 + x) Reorder the terms: 2 + 12x = 10(4 + x) 2 + 12x = (4 * 10 + x * 10) 2 + 12x = (40 + 10x) Solving 2 + 12x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + 12x + -10x = 40 + 10x + -10x Combine like terms: 12x + -10x = 2x 2 + 2x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + 2x = 40 + 0 2 + 2x = 40 Add '-2' to each side of the equation. 2 + -2 + 2x = 40 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 40 + -2 2x = 40 + -2 Combine like terms: 40 + -2 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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